Summary of main features:
Computation of the flow of n-point functions for gravity-matter systems around a flat background
xAct based
FormTracer and DoFun are integrated
Optimized tensor contractions with Form
Can keep general dependency on the regulator, gauge choice, and dimensionality.
Fermions are fully implemented (with vielbein formalism), including their anti-commuting nature.
Gauge groups (SU(N)-type) are implemented.
The current version is tested for loop integrals based on derivative expansion.
Momentum-dependent integration is implemented, but not fully tested or optimized.
Developed with input from Benjamin Knorr, Stefan Lippoldt, Manuel Reichert, and Marc Schiffer
Implements the general fluctuation setup summarised in 2007.10353, 2309.10785
For more information, contact Gustavo de Brito.
Publications using this code:
2007.05589: [flow of the graviton and ghost 2-point functions in unimodular gravity]
2010.00605: [beta functions of 4-fermion couplings and fermion anomalous dimension]
2107.03839: [flow of the 2- and 4-point functions of shift-symmetric scalars minimally coupling to gravity]
2112.08972: [flow of 2-point functions for scalars and abelian gauge fields and 3-point function of scalar-gauge-gauge, all minimally coupled to gravity]
2201.11402: [beta functions for Yukawa couplings and anomalous dimensions for scalar, gauge fields, and fermions]
2302.10989: [flow of a full function of a kinetic term of a shift-symmetric scalar field minimally coupled to gravity]
2309.03838: [beta function of 4-fermion operators minimally coupled with quadratic gravity]
2311.16066: [beta function of 4-fermion operators, with fermions carrying both flavor and color indices]
2312.02086: [beta functions for (almost) all standard model operators minimally coupled to gravity; beta function for gauge couplings and scalar potentials in the dark sector]
2505.01422: [beta functions for (almost) all standard model operators minimally coupled to gravity, including Majorana mass terms in the neutrino sector]
Independent cross-checks:
2010.00605: beta functions partially checked with computations by Astrid Eichhorn and fully checked with independent code by Marc Schiffer
2107.03839: beta functions partially checked with independent computation by Rafael Lino dos Santos
2112.08972: beta functions and anomalous dimensions checked with independent computation by Rafael Lino dos Santos
2302.10989: cross checked with independent codes by Benjamin Knorr and Marc Schiffer